Answer Happy

(5 pts.) In North West Indiana, 51% of the people are with brown eyes and 31% are with blue eyes. In Garrett, a random sample of 100 people showed 40 people with brown eyes and 40 people with blue eyes. Set up a x² goodness-of-fit test (section 10.1) at a = 0.1 to test if the proportions of people with brown and blue eyes in Garrett is different from the rest of the NW Indiana. In particular, define Ho and H₁, compute the test statistic value from the sample, define the rejection region in terms of the inverse x² distribution with the appropriate degrees of freedom, conclude, and provide interpretation in the context of the question. (+4%, bonus, i.e., +1 pt.: determine the p-value of the test.)